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Finding the Fourth Proportional to 267,855.94, 401,770.88 and 99,409.07

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Solution

The fourth proportional to 267,855.94, 401,770.88 and 99,409.07 is: 149,108.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,855.94 : 401,770.88 = 99,409.07 : x
  2. Step 2: Convert to fraction form
    267,855.94/401,770.88 = 99,409.07/x
  3. Step 3: Cross multiply
    267,855.94x = 401,770.88 × 99,409.07
  4. Step 4: Simplify right side
    267,855.94x = 39,939,669,533.88
  5. Step 5: Solve for x
    x = 39,939,669,533.88/267,855.94
  6. Step 6: Final answer
    x = 149,108.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.